This has to be the fastest satisfied request ever!
Quite by chance, I was working on expanding the support for blocks just today, and if you get a copy of the latest development version you will be able to add blocks in your quiz (only) pages!
This was a requirement for a new block that has recently been added (quiz_results), but obviously it paves the way for blocks in other places too. It all depends on what feedback there is for this feature.
There's a discussion at the Quiz module forum explaining some more.
Blocks in all resources
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